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Simplifying 162 = 3x + 3(x + 1) + 3(x + 2) Reorder the terms: 162 = 3x + 3(1 + x) + 3(x + 2) 162 = 3x + (1 * 3 + x * 3) + 3(x + 2) 162 = 3x + (3 + 3x) + 3(x + 2) Reorder the terms: 162 = 3x + 3 + 3x + 3(2 + x) 162 = 3x + 3 + 3x + (2 * 3 + x * 3) 162 = 3x + 3 + 3x + (6 + 3x) Reorder the terms: 162 = 3 + 6 + 3x + 3x + 3x Combine like terms: 3 + 6 = 9 162 = 9 + 3x + 3x + 3x Combine like terms: 3x + 3x = 6x 162 = 9 + 6x + 3x Combine like terms: 6x + 3x = 9x 162 = 9 + 9x Solving 162 = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 162 + -9x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 162 + -9x = 9 + 0 162 + -9x = 9 Add '-162' to each side of the equation. 162 + -162 + -9x = 9 + -162 Combine like terms: 162 + -162 = 0 0 + -9x = 9 + -162 -9x = 9 + -162 Combine like terms: 9 + -162 = -153 -9x = -153 Divide each side by '-9'. x = 17 Simplifying x = 17
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